The M5-Brane Elliptic Genus: Modularity and BPS States

Details The M5-Brane Elliptic Genus: Modularity and BPS States The M5-Brane Elliptic Genus: Modularity and BPS States

2006-07-02

arxiv.org/abs/hep-th/0607010v1

JHEP 0708:070,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1088/1126-6708/2007/08/070

The modified elliptic genus for an M5-brane wrapped on a four-cycle of a Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states in four dimensions. By holomorphy and modular invariance, it can be determined completely from the knowledge of a finite set of such BPS states. We show the feasibility of such a computation and determine the exact modified elliptic genus for an M5-brane wrapping a hyperplane section of the quintic threefold.

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